Question

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Linorm.m Create a function Linorm which takes one argument, M a square matrix and computes the LI-norm of the matrix. This is a number associated to each square matrix M, denoted lIMll, as follows. For each column of the matrix we add together the absolute values of the entries in that column, and we then take the maximum of those sums: SiSn where miy denotes the entry in the i-th row and j-th column of the matrix. For example, if 1 2 3 0 M1-14 5 0 3 2 1 4 3 2 1 11 +1-11+ I0 +41-6 [31 +14] + 121 + 12] = 11 then we compute the sum of absolute values for each column, 21 +-1+1- 31 +13-9 lo) + 15 + 1 +1-7 we then take the maximum of these values, which is 11, and so l|MIl 11

Answer 1

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clear all
close all
M=[1,2,3,0;-1,-1,4,5;0,-3,2,1;4,3,2,1];
L1norm(M)
function s=L1norm(M)
s=max(sum(abs(M)));
end

MATLAB R2018a Search Documentation Log In EDITOR Find Files Compare ▼ Print Run Section New Open Save Advance Run and Find Indent Time Advance C: Users PRADEEP KALRA 、Documents MATLAB Editor-CAUsers\PRADEEP KALRA Current Folder TLABsaveee.m Name- pradeep.mnewtonrapsonsbypradeep.msecantbypradeep.m+ saveee.m × A1clo 2-clea all 3-close all mathlab E New folder a1.m 5-Linorm(M) function s-Llnorm (M) s max (sum labs (M)) a4.m a5.m A1.dat A1.mat A2.dat A3.dat 4.dat Command Window New to MATLAB? See resources for Getting Started Details Name ▲ Value 44 double L1nom Ln 5 Col 10 ENG 7:42 AM US 05/12/19 O Type here to search

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